This question will walk you through computing the correlatio

This question will walk you through computing the correlation of two random variables with a joint density function. Let X and Y have joint density function f(x,y) = For this question recall that if X and Y have joint density f (x, y) then for any function g (x, y) the expectation E [g (X, Y)] = g (x, y) f (x. y) dxdy. Show that E [X] = 0.Don\'t argue by symmetry, compute the actual integral. Argue that E[y] =0. Show that S.D. (X) = Argue that S.D. (Y) = Show that Cov(X, Y) = ¼. Show that Corr (X, Y) = 0.75.

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